document.write( "Question 777529: 121 = 100 * (1 + x)^2, solving for x. \r
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document.write( "So far, I've come down to this expression...\r
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document.write( "121 = 100 * (1 + x)(1 + x)\r
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document.write( "121/100 = 1 + x + x + x^2\r
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document.write( "121/100 = 1 + 2x + x^2\r
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document.write( "To get rid of the 1...
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document.write( "Multiply the 100 again...\r
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document.write( "121 = 100 + 200x + 200x^2\r
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document.write( "Subtract the 100 on both sides...\r
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document.write( "21 = 200x + 200x^2\r
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document.write( "Divide by 200...\r
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document.write( ".105 = x + x^2\r
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document.write( "This is where I'm stuck with above.
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Algebra.Com's Answer #474137 by 1998Baby(63)![]() ![]() ![]() You can put this solution on YOUR website! 121=100*(1+x)^2 \n" ); document.write( "121=100*(1+x)(1+x) \n" ); document.write( "this is where you went wrong. you have to do parenthesis first. \n" ); document.write( "121=100*(x^2+2x+1) \n" ); document.write( "121=(100x+100)(x+1) \n" ); document.write( "121=100x^2+100x+100x+100 \n" ); document.write( "121=100x^2+200x+100 \n" ); document.write( "-121___________-121 \n" ); document.write( "0=100x^2+200x-21 \n" ); document.write( "you have to then multiply 100 and -21. \n" ); document.write( "you get -2100. you then have to find two numbers that when added equal 200 and when multiplied equal -2100. the numbers are 210 and -10. \n" ); document.write( "the you put them in the equation like so. \n" ); document.write( "0=100x^2+210x-10x-21 \n" ); document.write( "then you factor by grouping. \n" ); document.write( "you get:0=10x(10x+21)-1(10x+21) \n" ); document.write( "if you did it correctly you should get the same number in the parenthesis. \n" ); document.write( "then you ass the 10x and the -1 together \n" ); document.write( "0=(10x+21)(10x-1) \n" ); document.write( "then you separate the problem into: 10x+21=0 and 10x-1=0 and solve them \n" ); document.write( "10x+21=0 \n" ); document.write( "subtract 21 to 0 \n" ); document.write( "10x=-21 \n" ); document.write( "divide 10 to -21 \n" ); document.write( "x=-21/10 \n" ); document.write( "but your not done because you still have to do 10x-1=0 \n" ); document.write( "10x-1=0 \n" ); document.write( "add 1 to 0 \n" ); document.write( "10x=1 \n" ); document.write( "divide 10 to 1 \n" ); document.write( "x=1/10 \n" ); document.write( "____ \n" ); document.write( "the two answers are x=1/10, and -21/10 \n" ); document.write( " |